There are two fixed heavy masses of magnitude `M` of high density at a distance `2d` apart. On the axis, a small mass `m` moves in a circle of radius `R` in the `y-z` plane between the heavy masses. Find the velocity of the small particle.

Explanation

To find the velocity of the small mass \( m \) moving in a circular path between two fixed heavy masses \( M \) at a distance \( 2d \) apart, we can follow these steps:

### Step 1: Understanding the Setup
We have two heavy masses \( M \) located at points \( (-d, 0, 0) \) and \( (d, 0, 0) \). The small mass \( m \) is moving in a circular path of radius \( R \) in the \( y-z \) plane. The gravitational force between the small mass \( m \) and each of the heavy masses \( M \) will provide the necessary centripetal force for circular motion.

### Step 2: Calculate the Gravitational Force
The gravitational force \( F \) between each mass \( M \) and the small mass \( m \) can be given by Newton's law of gravitation:
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